Add 45/42 and 84/40
1st number: 1 3/42, 2nd number: 2 4/40
45/42 + 84/40 is 111/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
45/42 = 45 × 20/42 × 20 = 900/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
84/40 = 84 × 21/40 × 21 = 1764/840 - Add the two like fractions:
900/840 + 1764/840 = 900 + 1764/840 = 2664/840 - 2664/840 simplified gives 111/35
- So, 45/42 + 84/40 = 111/35
In mixed form: 36/35
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